# Pair of Linear Equations in Two Variables (IMO- Mathematics Olympiad (SOF) Class 10): Questions 52 - 56 of 82

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 958 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 450.00 or

## Question number: 52

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

For how many values of k does the following system of equations have at least one solution?

### Choices

Choice (4) Response

a.

2

b.

0

c.

1

d.

Infinitely many

## Question number: 53

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

Places and are 400 km apart from each other on a national highway. A car starts from and another from at the same time. If they go in the same direction then they meet in 10 hours and if they go in opposite directions they meet in hours. The speeds of the cars are ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 54

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

The number of values of k for which the system of equations has atleast one solution is ________

### Choices

Choice (4) Response

a.

3

b.

0

c.

1

d.

2

## Question number: 55

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

A boat goes 40 km upstream and 55 km downstream in 20 hours. In 23 hours, it can go 50 km upstream and 66 km downstream. If x represents the speed of the boat in still water in km/hr and y represent the speed of the stream in km/hr, then ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 56

» Pair of Linear Equations in Two Variables

MCQ▾

### Question

The sum of a two digit number and the number obtained by interchanging the digits of the number is 88. If the digits of the number differ by 6, then numbers are ________

### Choices

Choice (4) Response

a.

65,56

b.

71,17

c.

43,34

d.

41,14

f Page